Digital down converter

ABSTRACT

A digital down converter includes a low resolution mixer, a decimation filter, and a high resolution mixer. The low resolution mixer is configured to receive a digitized radio frequency signal, and apply a first down conversion to the radio frequency signal to produce an intermediate frequency signal. The decimation filter is coupled to the low resolution mixer. The decimation filter is configured to receive the intermediate frequency signal, and reduce a sampling rate of the intermediate frequency signal to produce a decimated intermediate frequency signal. The high resolution mixer is coupled to the decimation filter. The high resolution mixer is configured to receive the decimated intermediate frequency signal, and apply a second down conversion to the decimated intermediate frequency signal to produce a down converted signal.

CROSS-REFERENCE TO RELATED APPLICATIONS

This continuation application claims priority to U.S. patent applicationSer. No. 15/392,491, filed Dec. 28, 2016, which application claimspriority to Indian Provisional Patent Application No. 201641015445,filed May 4, 2016, both of which are hereby incorporated herein byreference in their entirety.

BACKGROUND

In wireless receivers, down converters transform a radio frequency (RF)signal into a baseband signal centered at the zero frequency. Downconversion has traditionally been performed in the analog domain.However, the next generation of wireless base station receivers mayemploy RF sampling, in which the RF signal is directly sampled with ahigh speed, high performance analog to digital converter (ADC) (e.g., a14 bit, 3 giga-sample-per-second ADC). The use of RF sampling allowssuch receivers to avoid mixers in the RF/analog domain, and to providesimultaneous multi-band reception by employing digital down-converters(DDC) for each of multiple bands using a single RF/analog receiverchain.

SUMMARY

A multi-band digital down converter having reduced circuit area andpower consumption is disclosed herein. In one embodiment, a digital downconverter includes a low resolution mixer, a decimation filter, a highresolution mixer, and frequency partitioning circuitry. The lowresolution mixer is configured to receive a digitized radio frequencysignal, and apply a first down conversion to the radio frequency signalto produce an intermediate frequency signal. The decimation filter iscoupled to the low resolution mixer. The decimation filter is configuredto receive the intermediate frequency signal, and reduce a sampling rateof the intermediate frequency signal to produce a decimated intermediatefrequency signal. The high resolution mixer is coupled to the decimationfilter. The high resolution mixer is configured to receive the decimatedintermediate frequency signal, and apply a second down conversion to thedecimated intermediate frequency signal to produce a down convertedsignal. The frequency partitioning circuitry is configured to select afirst frequency to mix with the radio frequency signal in the lowresolution mixer, to select a second frequency to mix with the decimatedintermediate frequency signal in the high resolution mixer, and toselect the first frequency and the second frequency to position the downconverted signal about a selected center frequency.

In another embodiment, a frequency mixer includes a low resolution mixerconfigured to receive a digitized radio frequency signal, and apply afirst down conversion to the radio frequency signal to produce anintermediate frequency signal. The low resolution mixer includes acanonical signed digit vector multiplier comprising a plurality ofcanonical signed digit multipliers arranged in parallel to multiply eachsample of the digitized radio frequency signal by a plurality ofdifferent multiplier values to produce a plurality of product values foreach sample of the digitized radio frequency signal.

In a further embodiment, a multi band frequency down converter includesa shared low resolution mixer and a plurality of down conversionchannels coupled to the shared low resolution mixer. The shared lowresolution mixer is configured to receive a digitized radio frequencysignal, and apply a first down conversion to the radio frequency signalto produce an intermediate frequency signal. Each of the down conversionchannels includes a decimation filter, a high resolution mixer, andfrequency partitioning circuitry. The decimation filter is coupled tothe shared low resolution mixer. The decimation filter is configured toreceive the intermediate frequency signal, and reduce a sampling rate ofthe intermediate frequency signal to produce a decimated intermediatefrequency signal. The high resolution mixer is coupled to the decimationfilter. The high resolution mixer is configured to receive the decimatedintermediate frequency signal, and apply a second down conversion to thedecimated intermediate frequency signal to produce a down convertedsignal. The frequency partitioning circuitry is configured to select afirst frequency to mix with the radio frequency signal in the lowresolution mixer, to select a second frequency to mix with the decimatedintermediate frequency signal in the high resolution mixer, and toselect the first frequency and the second frequency to position the downconverted signal about a selected center frequency.

BRIEF DESCRIPTION OF THE DRAWINGS

For a detailed description of various examples, reference will now bemade to the accompanying drawings in which:

FIG. 1 shows a block diagram for a digital down converter (DDC) inaccordance with various examples;

FIG. 2 shows a block diagram for a multi-band DDC in accordance withvarious examples;

FIG. 3 shows a block diagram for a low resolution mixer suitable for usein a DDC in accordance with various examples;

FIG. 4 depicts the low resolution mixer of FIG. 3 at a high level;

FIG. 5 shows a block diagram for a multi-band low resolution mixersuitable for use in a DDC in accordance with various examples; and

FIG. 6 shows an example of coefficients to be supported by canonicalsigned digit multipliers implemented in each of eight parallelmultipliers of a low resolution mixer that processes an RF signal aseight parallel streams in a DDC in accordance with various examples.

DETAILED DESCRIPTION

Certain terms are used throughout the following description and claimsto refer to particular system components. As one skilled in the art willappreciate, different companies may refer to a component by differentnames. This document does not intend to distinguish between componentsthat differ in name but not function. In the following discussion and inthe claims, the terms “including” and “comprising” are used in anopen-ended fashion, and thus should be interpreted to mean “including,but not limited to . . . .” Also, the term “couple” or “couples” isintended to mean either an indirect or direct wired or wirelessconnection. Thus, if a first device couples to a second device, thatconnection may be through a direct connection or through an indirectconnection via other devices and connections. The recitation “based on”is intended to mean “based at least in part on.” Therefore, if X isbased on Y, X may be a function of Y and any number of other factors.

While digital down converters (DDCs) advantageously alleviate the needfor analog mixers, conventional DDCs are subject to a variety ofdisadvantages. Because the radio frequency (RF) analog-to-digitalconverter (ADC) that provides data to the DDC samples at giga-sample persecond (GSPS) rates, the digital circuitry needed to implement downconversion at such rates in conventional DDCs is complex and consumes asignificant amount of power. For example, in a conventional DDC, eachdigital mixer performs a Cos/Sin computation followed by 2multiplication operations for each sample generated by the RF ADC. Thecomplexity of Cos/Sin computation can be prohibitive due to the highprecision requirement (e.g., >16 bit frequency resolution & >96 dBcspurious free dynamic range (SFDR)). Dual band operation doubles powerconsumption. Consequently, power consumption of a conventional digitalmixer can be very high (e.g., 100s of milli-watts per channel).

A digital down converter employs a digital mixer to perform a frequencytranslation of the input signal by a programmed frequency. The digitalmixer multiplies the input signal with a cosine and sine of theprogrammed frequency, thereby reducing the center frequency of the inputsignal by the programmed frequency. Hence, this operation is referred toas digital down-conversion.

Embodiments of the DDC of the present disclosure reduce both circuitcomplexity and power consumption. The DDCs disclosed herein employ twostages of digital mixing. The first mixing stage employs a lowresolution mixer that operates at the sampling rate of the RF ADC. Thesecond mixing stage employs a high resolution mixer that operates at alower rate. Embodiments include a decimation filter between the lowresolution mixer and the high resolution mixer.

FIG. 1 shows a block diagram for a DDC 100 in accordance with variousexamples. The DDC 100 includes an RF ADC 102, a low resolution mixer104, a decimation filter 106, a high resolution mixer 108, and frequencypartitioning circuitry 110. The RF ADC 102 converts analog RF signalsinto digital samples at a high rate (e.g., 3 GSPS) and with high bitresolution (e.g., 14 bits). While embodiments of the DDC 100 aredescribed herein in the context of RF signal digitization, embodimentsare suitable for use in various applications in which digitized signalsare to be shifted in frequency (e.g., where signals are digitized usingan ADC operating at frequencies lower than RF). The rate of samplingprovided by the RF ADC 102 is termed f_(s). The low resolution mixer 104is coupled to the RF ADC 102 and provides mixing at the sampling rate ofthe RF ADC at a relatively low frequency resolution to shift the RFfrequency samples to an intermediate frequency. Some embodiments of thelow resolution mixer 104 may provide a frequency resolution that isone-sixteenth of the sampling rate of the RF ADC 102. While the lowresolution mixer 104 is illustrated as mixing in a single band, someembodiments of the low resolution mixer 104 can provide simultaneousmulti-band mixing as will be further described herein.

The output of the low resolution mixer 104 is

u _(I)(n)=x(n)cos(2πFC ₁ n), and

u _(Q)(n)=−x(n)sin(2πFC ₁ n)

where:x(n) is the input signal to the low resolution mixer, at a sampling rateof f_(s);FC₁ is the normalized frequency value programmed into the low resolutionmixer 104, with FC₁ being a ratio of the absolute frequency, e.g., inHz, divided by the sampling rate f_(s), e.g., in cycles/sec;u_(I)(n) is the in-phase (I) output signal of the low resolution mixer;andu_(Q)(n) is the quadrature (Q) output signal of the low resolutionmixer.

The decimation filter 106 is coupled to the low resolution mixer 104.The decimation filter 106 reduces the bandwidth and the rate of samplesreceived from the low resolution mixer 104. In some embodiments, thedecimation filter 106 may include a plurality of sequential stages ofdecimation filtering. Because the desired signal at the output of thelow resolution mixer 104 could be at a maximum frequency offset that ishalf the resolution of the low resolution mixer (for example, f_(s)/32)from DC, the bandwidth of the decimation filter 106 is increased toaccommodate this maximum frequency offset.

The high resolution mixer 108 is coupled to the decimation filter 106.The output of the decimation filter 106, received by the high resolutionmixer 108, is at a lower sampling rate than that processed by the lowresolution filter 104. For example, the high resolution mixer 108 mayoperate at one quarter of the RF ADC sampling rate (i.e., f_(s)/4). Thehigh resolution mixer 108 performs a cos/sin computation followed by acomplex multiplication. The complex multiplier of the high resolutionmixer 108 operates at the rate of the samples received from thedecimation filter 106. Thus, the complex multiplier may operate at onequarter of the sampling rate provided by the RF ADC. As a result,sin/cos value generation in the high resolution mixer 108 may consumeone quarter of the power of sin/cos generation in the mixer of aconventional DDC. The complex multiplier may be implemented using threereal multipliers resulting in multiplier power consumption that is about60% lower than the multiplier power consumption in a conventional DDCthat operates at the RF ADC sampling rate (i.e., f_(s)).

The output of the high resolution mixer 108 is

y _(I)(n)=v _(I)(n)cos(2πΔF ₁ n)+v _(Q)(n)sin(2πΔF ₁ n), and

y _(Q)(n)=v _(Q)(n)cos(2πΔF ₁ n)−v _(I)(n)sin(2πΔF ₁ n)

where:v_(I)(n) is the in-phase (I) input signal to the high resolution mixer;v_(Q)(n) is the quadrature (Q) input signal to the high resolutionmixer;ΔF₁ is the normalized center frequency value programmed into the highresolution mixer 108, with ΔF₁ being a ratio of the absolute centerfrequency, e.g., in Hz, divided by the decimated sampling rate of theinput signal provided to the high resolution mixer, e.g., at f_(s)/4 incycles/sec;y_(I)(n) is the in-phase (I) output signal for the band; andy_(Q)(n) is the quadrature (Q) output signal for the band.

The frequency partitioning circuitry 110 partitions the selected centerfrequency F₁ between the low resolution mixer 104 and the highresolution mixer 108. In some embodiments, the frequency partitioningcircuitry 110 partitions that selected center frequency F₁ between thelow resolution mixer 104 and the high resolution mixer 108 as:

${{FC}_{1} = {\frac{1}{M} \star {{round}( {M \star \frac{F_{1}}{f_{s}}} )}}},{and}$${{\Delta \; F_{1}} = {N \star ( {\frac{F_{1}}{f_{s}} - {FC}_{1}} )}},$

where:F₁ is the desired center frequency value, e.g., in Hz, and f_(s) is thesampling rate of the input signal to the low resolution mixer, e.g., incycles/sec;FC₁ is the normalized frequency value programmed into the low resolutionmixer 104 with an equivalent frequency resolution of

$\frac{f_{s}}{M},$

e.g., M may be 16 in some embodiments;ΔF₁ is the normalized frequency value programmed into the highresolution mixer 108 that is operating at a sampling rate of

$\frac{f_{s}}{N},$

e.g., N=4 for decimation by 4;

$\frac{f_{s}}{M}$

is the frequency resolution of the low resolution mixer 104;N is the decimation factor of the decimation filter 106; and round( ) isa function that rounds, for example, to the nearest integer.

Embodiments of the frequency partitioning circuitry 110 may beimplemented using a processor (e.g., a general-purpose microprocessor, amicrocontroller, etc.) and instructions that are executable by theprocessor to determine FC₁ and ΔF1. In some embodiments, the frequencypartitioning circuitry 110 may be implemented using dedicated hardwareand/or a processor executing software programming. In variousembodiments, the center frequencies for the low resolution mixer 104 andthe high resolution mixer 108 may be configurable/programmable based onrespective center frequency inputs for each of the mixers 104, 108. Eachof the mixers 104, 108 may have a finite number of programmable centerfrequencies and the resolution of the mixer may refer to the intervalbetween consecutive programmable center frequencies or how closelyspaced consecutive programmable center frequencies are to each other.Mixers that have consecutive programmable center frequencies which arecloser to each other or have a smaller interval between the frequenciesmay be said to have a higher frequency resolution. Likewise, mixers thathave consecutive programmable center frequencies which are further fromeach other or have a greater interval between the frequencies may besaid to have a lower frequency resolution. In some examples, mixer 104may have a lower frequency resolution than mixer 108, and mixer 104 mayhave a higher sampling rate than mixer 108.

FIG. 2 shows a block diagram for a multi-band DDC 200 in accordance withprinciples disclosed herein. The multi-band DDC 200 is similar to theDDC 100 of FIG. 1, but includes two down conversion channels 208 and210, rather than the single down conversion channel of the DDC 100.Other embodiments of the DDC 200 may include any number of downconversion channels. The multi-band DDC 200 includes the RF ADC 102 anda shared multi-band low resolution mixer 204 that provides intermediatefrequency samples to both down conversion channels 208 and 210. Theshared low resolution mixer 204 is similar to the low resolution mixer104, and includes circuitry to provide low resolution down conversionfor two frequency bands. The intermediate frequency samples produced bythe low resolution mixer 204 are provided to respective down conversionchannel 208 and 210. By sharing circuitry of the low resolution mixer204 with two down conversion channels 208 and 210, circuit area andpower consumption can be reduced in embodiments of the multi-band DDC200.

The down conversion channel 210 is identical to the down conversionchannel 208. Each of the down conversion channels 208, 210 includesdecimation filters 206, a high resolution mixer 108 and frequencypartitioning circuitry 110. Each decimation filter 206 reduces thesampling rate by a factor of two. Accordingly, the sample rate receivedby the high resolution mixer 108 is one quarter of the sample rateprovided by the RF ADC 102. The high resolution mixer 108 receives thedecimated sample stream and mixes the frequency ΔF1 or ΔF2 with thedecimated sample stream to produce a down converted sample stream. Insome embodiments, a decimation filter 106 may further decimate theoutput of the high resolution mixer 108.

Each down conversion channel 208, 210 includes frequency partitioningcircuitry 110 that partitions the selected center frequency F1 and F2between the low resolution mixer 204 and the high resolution mixers 108as described with respect to the DDC 100.

FIG. 3 shows a block diagram for an embodiment of the low resolutionmixer 104. FIG. 4 depicts the low resolution mixer 104 at a higher levelto facilitate understanding. The low resolution mixer 104 includes acanonical sign digit (CSD) vector multiplier 302, an I/Q componentselector 304, a phase generator 314, and a MUX controller 316. Theinstantaneous phase of the cos/sin terms applied in the low resolutionmixer 104 is multiples of π/8. The low resolution mixer 104 multipliesthe real input samples x(n) provided by the RF ADC 102 with cos(nkπ/8),where n is an integer value and represents the sequence index, and theprogrammed center frequency of the low resolution mixer 104 for a bandis FC1=kf_(s)/16. Embodiments multiply each input sample with each of{1, c₁=cos(π/8), c₂=cos(π/4), c₃=cos(3π/8), and 0} and selectively applya sign inversion to generate each output sample of in phase signaly_(I)(n). The output samples of quadrature signal y_(Q)(n) are generatedanalogously, but by multiplying with sin(nkπ/8). The fixed nature of{c₁, c₂, c₃} allow embodiments of the low resolution mixer 104 toreplace a generic multiplier with CSD based adders. Accordingly, the CSDvector multiplier 302 includes a plurality of CSD multipliers 306. EachCSD multiplier 306 may include adders and shifters to providemultiplication of an input sample by a given cos/sin term. The CSDvector multiplier 302 provides, for each input sample, an output valuefor each cos/sin term.

Some embodiments of the CSD Vector Multiplier 302 may include gatingcircuitry to gate unused terms in the CSD vector multiplier 302. Thegating circuitry reduces the power consumption of the CSD vectormultiplier 302, on average, especially when the programmed frequency FC1and FC2 does not require computation of all terms x(n)*c₁, x(n)*c₂, andx(n)*c₃.

The I/Q component selector 304 includes multiplexers 308, 310, and 312.The multiplexers 308, 310, and 312 select from the outputs of the CSDvector multiplier 302 to generate the in-phase and quadrature sampleoutputs. Multiplexers 308 select from the outputs of the CSD vectormultiplier 302 in a range of 0 to π/4. The multiplexers 310 select fromthe outputs of the multiplexers 308. The multiplexers 312 select anegated or an unnegated version of the output of a correspondingmultiplexer 310 to represent the in-phase or quadrature output sample.

The phase generator 314 computes the required phase nkπ/8 correspondingto each input sample received by the low resolution mixer 104. The MUXcontroller 316 uses this phase value to generate the control signals (ϕ,Swap, Neg_I, and Neg_Q) that control the multiplexers 308, 310, and 312.The control signal ϕ takes one of the three values for each phase 0,ϕ/8, and ϕ/4. The Swap signal is determined based on the phase value,i.e., whether mod(nk π/8, ϕ/2) is in the range of [0, ϕ/4], enablingreuse of the CSD multiplier outputs to generate both y_(I)(n) andy_(Q)(n). The signals Neg_I and Neg_Q respectively negate signals forthe in-phase and quadrature sample outputs.

FIG. 5 shows a block diagram for an embodiment of the multi-band lowresolution mixer 204. The multi-band low resolution mixer 204 is similarto the low resolution mixer 104 described with respect to FIG. 4. Themulti-band low resolution mixer 204 includes a CSD vector multiplier 302and includes an instance of the I/Q component selector 304 for each bandto be down converted. The multi-band low resolution mixer 204 is a twoband mixer and includes two instance of the I/Q component selector 304.Embodiments of the multi-band low resolution mixer 204 that support downconversion of a given number of bands include an instance of the I/Qcomponent selector 304 for each of the given number of bands.

Each of the I/Q component selectors 304 is coupled to the CSD VectorMultiplier 302. Accordingly, a single CSD Vector Multiplier 302 providesall of the multiplication operations for any number of bands, and theI/Q component selector 304 for each band selects the outputs of the CSDVector Multiplier 302 based on the ϕ, Swap, Neg_I, and Neg_Q signalsgenerated by the I/Q component selector 304 to produce the outputsamples for the band.

Using the multi-band low resolution mixer 204, the circuit area devotedto a dual-band low resolution mixer in a DDC may be about 13% of themixer circuit area in a conventional dual-band down converter, and thearea/power consumption of the mixers in the DDC 200 may be about 55%lower than that needed for the mixers of a conventional dual-band DDC.

Because the low resolution mixer 204 operates at the sampling rate ofthe RF ADC 102, which, for example, may be as high as 3 GSPS, someembodiments of the low resolution mixer 204 may be implemented toprocess a number of input samples (e.g., 4 or 8) in parallel at a lowerclock rate (e.g., f_(s)/4 or f_(s)/8). For example, in an 8×parallelized implementation of the low resolution mixer 204 (e.g., byusing a CLK=f_(s)/8), the CSD vector multiplier 302 and the I/Qcomponent selector 304 can be simplified for some of the parallelstreams, as processing for all streams may not need to support all ofthe terms {1, c₁, c₂, c₃, 0), but rather may only need to support asubset of the total number of terms, e.g., {1, c₂, 0} or {1, 0}.

FIG. 6 shows an example of the CSD multiplier scaling terms implementedin each of eight parallel CSD vector multipliers of a low resolutionmixer 204 that processes samples of an RF signal as eight parallelstreams in accordance with various examples. Streams 0 and 4 aremultiplied by only zero or one, which requires no adder or shiftercircuitry. Streams 2 and 6 and multiplied by zero, one and c₂. Streams1, 3, 5, and 7 are multiplied by zero, one and c₁, c₂, and c₃.Accordingly, only half of the CSD vector multipliers 302 in the eightstream parallel implementation require multipliers for all thecoefficients applied in the low resolution mixer 204, and the number ofCSD multipliers in the remaining four CSD vector multipliers 302 can bereduced to save power and circuit area.

The above discussion is meant to be illustrative of the principles andvarious embodiments of the present invention. Numerous variations andmodifications will become apparent to those skilled in the art once theabove disclosure is fully appreciated. It is intended that the followingclaims be interpreted to embrace all such variations and modifications.

What is claimed is:
 1. A digital down converter, comprising: a lowresolution mixer configured to: receive a digitized radio frequencysignal; and apply a first down conversion to the radio frequency signalto produce an intermediate frequency signal; a decimation filter coupledto the low resolution mixer, the decimation filter configured to:receive the intermediate frequency signal; and reduce a sampling rate ofthe intermediate frequency signal to produce a decimated intermediatefrequency signal; a high resolution mixer coupled to the decimationfilter, the high resolution mixer configured to: receive the decimatedintermediate frequency signal; and apply a second down conversion to thedecimated intermediate frequency signal to produce a down convertedsignal.
 2. The digital down converter of claim 1, wherein the lowresolution mixer is configured to provide a frequency resolution ofone-sixteenth of the sampling frequency of the digitized radio frequencysignal.
 3. The digital down converter of claim 1, wherein the decimationfilter is configured to reduce the sampling rate of the intermediatefrequency signal by a factor of any of 2, 3, 4, 6, or
 8. 4. The digitaldown converter of claim 1, wherein a bandwidth of the decimation filteris greater than a bandwidth of the intermediate frequency signal.
 5. Thedigital down converter of claim 1, wherein the high resolution mixer isconfigured to provide complex multiplication at no more than one half ofthe sampling rate of the digitized radio frequency signal.
 6. Thedigital down converter of claim 1, wherein the low resolution mixercomprises: a plurality of canonical signed digit (CSD) multipliersarranged in parallel to multiply each sample of the digitized radiofrequency signal by a plurality of different values; and a plurality ofmultiplexers coupled to outputs of the CSD multipliers and configured toselect an output of the CSD multipliers to be a sample of theintermediate frequency signal.
 7. The digital down converter of claim 1,further comprising frequency partitioning circuitry configured to:select a first frequency to mix with the radio frequency signal in thelow resolution mixer; select a second frequency to mix with thedecimated intermediate frequency signal in the high resolution mixer;and select the first frequency and the second frequency to position thedown converted signal about a selected center frequency.
 8. The digitaldown converter of claim 7, wherein the frequency partitioning circuitryconfigured to: select the first frequency as:${\frac{1}{M} \star {{round}( {M \star \frac{F_{1}}{f_{s}}} )}};$and select the second frequency as:${N \star ( {\frac{F_{1}}{f_{s}} - {FC}_{1}} )};$ wherein: F₁is the selected center frequency; f_(s) is a sampling rate of thedigitized radio frequency signal; FC₁ is the first frequency; N is thedecimation factor of the decimation filter; and M defines the frequencyresolution of the low resolution mixer as $\frac{f_{s}}{M}.$
 9. Afrequency mixer, comprising: a low resolution mixer configured to:receive a digitized radio frequency signal; and apply a first downconversion to the radio frequency signal to produce an intermediatefrequency signal; wherein the low resolution mixer comprises a canonicalsigned digit (CSD) vector multiplier comprising a plurality of CSDmultipliers arranged in parallel to multiply each sample of thedigitized radio frequency signal by a plurality of different multipliervalues to produce a plurality of product values for each sample of thedigitized radio frequency signal.
 10. The frequency mixer of claim 9,wherein the CSD vector multiplier is configured to executemultiplication of the digitized radio frequency signal only with cosinevalues of phases ranging from 0 to π/2.
 11. The frequency mixer of claim9, wherein the low resolution mixer comprises an I/Q selector comprisinga plurality of multiplexers coupled to outputs of the CSD vectormultiplier and configured to select one of the product values to be asample of the intermediate frequency signal.
 12. The frequency mixer ofclaim 11, wherein the low resolution mixer comprises a phase generatorconfigured to generate a phase value corresponding to each sample of thedigitized radio frequency signal, the phase value based on a frequencyto be mixed with the digitized radio frequency signal in the lowresolution mixer.
 13. The frequency mixer of claim 9, further comprisinga plurality of additional CSD vector multipliers, wherein each sample ofthe digitized radio frequency signal is processed by only one of the CSDvector multipliers, and one or more of the additional CSD vectormultipliers comprises fewer than a maximum number CSD multipliers neededto provide parallel multiplication of a sample of by the plurality ofdifferent multiplier values applied in the low resolution mixer.
 14. Amulti band frequency down converter, comprising: a shared low resolutionmixer configured to: receive a digitized radio frequency signal; andapply first down conversions to the radio frequency signal to produce aplurality of intermediate frequency signals; a plurality of downconversion channels coupled to the shared low resolution mixer, each ofthe down conversion channels comprising: a decimation filter coupled tothe shared low resolution mixer, the decimation filter configured to:receive a given one of the intermediate frequency signals; and reduce asampling rate of the given one of the intermediate frequency signals toproduce a decimated intermediate frequency signal; a high resolutionmixer coupled to the decimation filter, the high resolution mixerconfigured to: receive the decimated intermediate frequency signal; andapply a second down conversion to the decimated intermediate frequencysignal to produce a down converted signal.